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Finding the Fourth Proportional to 300.33, 414.47 and 169.35

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Solution

The fourth proportional to 300.33, 414.47 and 169.35 is: 233.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.33 : 414.47 = 169.35 : x
  2. Step 2: Convert to fraction form
    300.33/414.47 = 169.35/x
  3. Step 3: Cross multiply
    300.33x = 414.47 × 169.35
  4. Step 4: Simplify right side
    300.33x = 70,189.65
  5. Step 5: Solve for x
    x = 70,189.65/300.33
  6. Step 6: Final answer
    x = 233.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.